What is the Greatest Common Factor of 49996 and 50000?

Greatest common factor (GCF) of 49996 and 50000 is 4.

GCF(49996,50000) = 4

We will now calculate the prime factors of 49996 and 50000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49996 and 50000.

How to find the GCF of 49996 and 50000?

We will first find the prime factorization of 49996 and 50000. After we will calculate the factors of 49996 and 50000 and find the biggest common factor number .

Step-1: Prime Factorization of 49996

Prime factors of 49996 are 2, 29, 431. Prime factorization of 49996 in exponential form is:

49996 = 2² × 29¹ × 431¹

Step-2: Prime Factorization of 50000

Prime factors of 50000 are 2, 5. Prime factorization of 50000 in exponential form is:

50000 = 2⁴ × 5⁵

Step-3: Factors of 49996

List of positive integer factors of 49996 that divides 49996 without a remainder.

1, 2, 4, 29, 58, 116, 431, 862, 1724, 12499, 24998

Step-4: Factors of 50000

List of positive integer factors of 50000 that divides 49996 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 3125, 5000, 6250, 10000, 12500, 25000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49996 and 50000. The biggest common factor number is the GCF number.
So the greatest common factor 49996 and 50000 is 4.

Also check out the Least Common Multiple of 49996 and 50000